| 书目名称 | Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups |
| 编辑 | Zhen-Qing Chen,Takashi Kumagai,Tianyi Zheng |
| 视频video | |
| 概述 | Provides a systematic study of functional limit theorem for long-jump random walks on nilpotent groups.Gives a companion local limit theorem relating the densities of‘of the associated processes.Prese |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | This book develops limit theorems for a natural class of long range random walks on finitely generated torsion free nilpotent groups. The limits in these limit theorems are Lévy processes on some simply connected nilpotent Lie groups. Both the limit Lévy process and the limit Lie group carrying this process are determined by and depend on the law of the original random walk. The book offers the first systematic study of such limit theorems involving stable-like random walks and stable limit Lévy processes in the context of (non-commutative) nilpotent groups.. |
| 出版日期 | Book 2023 |
| 关键词 | Long range random walk; Nilpotent group; Group dilation; Weak convergence; Lévy Process; Dirichlet form; L |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-43332-0 |
| isbn_softcover | 978-3-031-43331-3 |
| isbn_ebook | 978-3-031-43332-0Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:35:24
